The impact of nonlinear perturbation to the dynamics of HIV model
- Zhenfeng Shi
, - Daqing Jiang,
- Ningzhong Shi,
- Tasawar Hayat,
- Ahmed Alsaedi
Zhenfeng Shi
Northeast Normal University
Corresponding Author:shizhenfeng95@163.com
Author ProfileDaqing Jiang
College of Science, China University of Petroleum(East China)
Author ProfileNingzhong Shi
School of Mathematics and Statistics, Northeast Normal University
Author ProfileAbstract
In this paper, we developed and studied a stochastic HIV model with
nonlinear perturbation. Through a rigorous analysis, we firstly showed
that the solution of the stochastic model is positive and global. Then,
by employing suitable stochastic Lyapunov functions, we prove that the
stochastic model admit a unique ergodic stationary distribution. In
addition, sufficient conditions for the extinction of HIV infection are
derived. Finally, numerical simulations are employed to confirm our
theoretical results.10 Mar 2021Submitted to Mathematical Methods in the Applied Sciences 11 Mar 2021Submission Checks Completed
11 Mar 2021Assigned to Editor
15 Mar 2021Reviewer(s) Assigned
12 Apr 2021Review(s) Completed, Editorial Evaluation Pending
26 May 2021Editorial Decision: Revise Major
23 Aug 20211st Revision Received
23 Aug 2021Submission Checks Completed
23 Aug 2021Assigned to Editor
13 Sep 2021Reviewer(s) Assigned
13 Sep 2021Review(s) Completed, Editorial Evaluation Pending
29 Sep 2021Editorial Decision: Accept
16 Nov 2021Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.7939 
